Allan Gibbard: Difference between revisions
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(Crude adaptation of introduction from w:Allan Gibbard (<https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392>). I removed many of the links because the summary is drastically overlinked) |
(Added #Social choice theory section from w:Allan Gibbard (<https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392>)) |
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'''Allan Fletcher Gibbard''' (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the [[w:University of Michigan, Ann Arbor|University of Michigan, Ann Arbor]].<ref>http://www-personal.umich.edu/~gibbard/Vita.pdf</ref> Gibbard has made major contributions to contemporary ethical theory, in particular [[w:metaethics|metaethics]], where he has developed a contemporary version of [[w:non-cognitivism|non-cognitivism]]. He has also published articles in the philosophy of language, metaphysics, and [[social choice theory]].<ref name="Gibbard1973">{{cite journal |first=Allan |last=Gibbard |title=Manipulation of Voting Schemes: A General Result |journal=[[Econometrica]] |volume=41 |issue=4 |year=1973 |pages=587–601 |jstor=1914083 |doi=10.2307/1914083 }}</ref> |
'''Allan Fletcher Gibbard''' (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the [[w:University of Michigan, Ann Arbor|University of Michigan, Ann Arbor]].<ref>http://www-personal.umich.edu/~gibbard/Vita.pdf</ref> Gibbard has made major contributions to contemporary ethical theory, in particular [[w:metaethics|metaethics]], where he has developed a contemporary version of [[w:non-cognitivism|non-cognitivism]]. He has also published articles in the philosophy of language, metaphysics, and [[social choice theory]].<ref name="Gibbard1973">{{cite journal |first=Allan |last=Gibbard |title=Manipulation of Voting Schemes: A General Result |journal=[[Econometrica]] |volume=41 |issue=4 |year=1973 |pages=587–601 |jstor=1914083 |doi=10.2307/1914083 }}</ref> |
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== Social choice theory == |
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{{See also|Social choice theory}} |
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Soon after his doctoral degree, Gibbard provided a first proof of a conjecture that [[strategic voting]] was an intrinsic feature of [[Arrow's impossibility theorem|non-dictatorial]] voting systems with at least three choices, a conjecture of [[Michael Dummett]] and [[Robin Farquharson]]. This work would eventually become known as "[[Gibbard's theorem]]", published in 1973.<ref name="Gibbard1973" /> [[Mark Satterthwaite]] later worked on a similar theorem which he published in 1975.<ref>{{cite journal |first=Mark A. |last=Satterthwaite |title=Strategy-proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions |journal=[[Journal of Economic Theory]] |volume=10 |year=1975 |issue=2 |pages=187–217 |doi=10.1016/0022-0531(75)90050-2 |citeseerx=10.1.1.471.9842 }}</ref><ref>{{cite book |first=Michael |last=Dummett |author-link=Michael Dummett |title=Voting Procedures |location=New York |publisher=Oxford University Press |year=1984 |isbn=978-0-19-876188-4 |url=https://books.google.com/books?id=LOFRAQAAIAAJ }}</ref> Satterthwaite and Jean Marie Brin published a paper in 1978 describing Gibbard's and Satterthwaite's mathematical proofs as the "[[Gibbard–Satterthwaite theorem]]" and described its relationship to [[Arrow's impossibility theorem]].<ref>{{Cite journal|last=Blin|first=Jean Marie|last2=Satterthwaite|first2=Mark A.|date=1978-10-31|title=Individual decisions and group decisions. The fundamental differences|url=https://www.scholars.northwestern.edu/en/publications/individual-decisions-and-group-decisions-the-fundamental-differen|journal=Journal of Public Economics|volume=10|issue=2|pages=247–267|doi=10.1016/0047-2727(78)90037-3|issn=0047-2727}}</ref> |
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== References == |
== References == |
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Revision as of 22:04, 25 November 2021
From w:Allan Gibbard[1]
Allan Fletcher Gibbard (born 1942) is the Richard B. Brandt Distinguished University Professor of Philosophy Emeritus at the University of Michigan, Ann Arbor.[2] Gibbard has made major contributions to contemporary ethical theory, in particular metaethics, where he has developed a contemporary version of non-cognitivism. He has also published articles in the philosophy of language, metaphysics, and social choice theory.[3]
[...]
Social choice theory
Soon after his doctoral degree, Gibbard provided a first proof of a conjecture that strategic voting was an intrinsic feature of non-dictatorial voting systems with at least three choices, a conjecture of Michael Dummett and Robin Farquharson. This work would eventually become known as "Gibbard's theorem", published in 1973.[3] Mark Satterthwaite later worked on a similar theorem which he published in 1975.[4][5] Satterthwaite and Jean Marie Brin published a paper in 1978 describing Gibbard's and Satterthwaite's mathematical proofs as the "Gibbard–Satterthwaite theorem" and described its relationship to Arrow's impossibility theorem.[6]
References
- ↑ https://en.wikipedia.org/w/index.php?title=Allan_Gibbard&oldid=1052623392
- ↑ http://www-personal.umich.edu/~gibbard/Vita.pdf
- ↑ a b Gibbard, Allan (1973). "Manipulation of Voting Schemes: A General Result". Econometrica. 41 (4): 587–601. doi:10.2307/1914083. JSTOR 1914083.
- ↑ Satterthwaite, Mark A. (1975). "Strategy-proofness and Arrow's Conditions: Existence and Correspondence Theorems for Voting Procedures and Social Welfare Functions". Journal of Economic Theory. 10 (2): 187–217. CiteSeerX 10.1.1.471.9842. doi:10.1016/0022-0531(75)90050-2.
- ↑ Dummett, Michael (1984). Voting Procedures. New York: Oxford University Press. ISBN 978-0-19-876188-4.
- ↑ Blin, Jean Marie; Satterthwaite, Mark A. (1978-10-31). "Individual decisions and group decisions. The fundamental differences". Journal of Public Economics. 10 (2): 247–267. doi:10.1016/0047-2727(78)90037-3. ISSN 0047-2727.